Saturday
September 20, 2014

Homework Help: Math (Trig)

Posted by Meg on Sunday, February 27, 2011 at 9:51am.

a ferris wheel has a radius of 10m and is one meter above the ground. If the ferris wheel makes 1 revolution every 20 seconds, write an equation that gives the height above the ground of a person on the ferris wheel as a function of time if that person starts (t=0) 1/8th of a rotation away from the bottom most point while moving downwards

• Math (Trig) - agrin04, Sunday, February 27, 2011 at 11:08am

1 rotation = 2pi
1/8 rotation = 1/8 x 2pi = pi/4

State y as the height difference created from the rotation of the wheel and the bottom of the ferris wheel (not the ground)
height = y + 1
= r - r cos {(2pi/20)t - (pi/4)} +1
= r(1 - cos pi{(t/10) - (1/4)}) +1
= 10(1 - cos pi{(t/10) - (1/4)}) +1

 First Name: School Subject: Answer:

Related Questions

trig - 1. A Ferris wheel with a radius of 7m makes one complete revolution every...
Trigonometry - A carnival Ferris wheel with a radius of 7 m makes one complete ...
trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...
Math - A carnival Ferris wheel with a radius of 7 m makes one complete ...
calculus - Eric is standing on the ground, a distance of 70 ft from the bottom ...
math - A ferris wheel has radius of 25 m and its centre is 27 m above the ground...
Physics - Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The ...
Trig - As you ride a ferris wheel, your distance from the ground varies ...
math - A ferris wheel is 35 meters in diameter,and can be boarded at ground ...
math - the maximun height of a ferris wheel is 35m. the wheel takes 2 mins to ...

Search
Members